An optimal control problem governed by the potential of a linear Schrodinger equation

Subasi M.

APPLIED MATHEMATICS AND COMPUTATION, cilt.131, sa.1, ss.95-106, 2002 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 131 Sayı: 1
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1016/s0096-3003(01)00161-8
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.95-106
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, for optimal control of the potential in a quantum mechanical system described by the linear Schrodinger equation the soundness of the problem statement is analyzed and a computing solution algorithm is specified. Since this problem is ill posed, using the Tichonov regularization, the problem is solved numerically. Also, the results are discussed on two simple problems. (C) 2002 Elsevier Science Inc. All rights reserved.